Topics: Differential Equations, Modeling, Qualitative Methods, First-Order Differential Equations, Separable First-Order Differential Equations, Exact First-Order Differential Equations, Linear First-Order Differential Equations, Linear Differential Equations, Second-Order Linear Homogeneous Differential, nth-Order Linear Homogeneous Differential Equations, Method of Undetermined Coefficients, Variation of Parameters, Initial-Value Problems, Laplace Transform, matricies, Inverse Laplace Transforms, Convolutions, Unit Step Function, power series, Series Solutions, Classical Differential Equations, Gamma Functions, Bessel Functions, Partial Differentiall Equations, Second-Order Boundary-Value Problems, Eigenfunction Expansions, Difference Equations

Topics: Transmission lines, ideal transmission lines, impedance for coaxial line, wave velocity for coaxial line, coaxial line

Topics: generalized linear models, Model Fitting, Exponential Family, estimation, inference, normal linear models, Binary Variables, Logistic Regression, Nominal Logistic Regression, Ordinal Logistic Regression, Poisson Regression, Log-Linear Models, Survival Analysis, Clustered data, Longitudinal Data, Bayesian Analysis, Markov Chain Monte Carlo Methods

Topics: Generalized Linear Models, dilution assay, probit analysis, logit models, log-linear models, inverse polynomical, survival data, model fittinf, residuals, pearson residual, Anscombe residual, deviance residual, error structure, systemic component, aliasing, estimation, tables, binary data, binomial distribution, over-dispersion, measurement scales, multinomial distribution, likelihood functions, log-linear models, multiple responses, conditional likelihoods, hypergeometric distributions, Gamma distribution, Quasi-likelihood functions, dependent observations, optimal estimating functions, optimality criteria, model checking, survival data, dispersion

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

Topics: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Topics: statistics, econometrics, Descriptive Statistics, Frequency Distributions, Measures of Central Tendency, Measures of Dispersion, Probability, Probability Distributions, Discrete Probability Distributions, Binomial Distribution, Poisson Distribution, Continuous Probability Distributions, The Normal Distribution, Statistical Inference, Estimation, Sampling, Sampling Distribution, Statistical Inference, Testing Hypothesis, Analysis of Variance, Chi-Square Test, Nonparametric Testing, Simple Regression Analysis, Two-Variable Linear Model, Ordinary Least-Squares Method, Ordinary Least-Squares Estimators, Multiple Regression Analysis, Three-Variable Linear Model, Coefficient of Multiple Determination, Partial-Correlation Coefficients, Matrix Notation, Functional Form, Regression Analysis, Dummy Variables, Distributed Lag Models, Forecasting, Binary Choice Models, Multicollinearity, Heteroscedasticity, Autocorrelation, Simultaneous-Equations Methods, Time-Series Methods, ARMA

Topics: Linear Programming, Linear Programming Model Formulation, Graphical Method, Simplex Method, Duality in Linear Programming, Dual Linear Programming Problem, Sensitivity Analysis, Integer Linear Programming, Goal Programming, Transportation Problem, Assignment Problem, Decision Theory, Decision Trees, Theory of Games, game theory, Project Management, Deterministic Inventory Control Models, Probabilistic Inventory Control Models, Queuing Theory, Replacement Models, Maintenance Models, Markov Chains, Simulation, Sequencing Problems, Information Theory, Dynamic Programming, Classical Optimization Methods, Non-Linear Programming Methods, Revised Simplex Method, Dual-Simplex Method, Bounded Variables Linear Programming Problem, Parametric Linear Programming

Topics: circuit analysis, circuit elements, Network theorems, two-port networks, semiconductor diodes, Zener diodes, Bipolar junction transistors, JFET spice model, JFET bias line, JFET load line, MOSFET construction, transistor bias, small-signal midfrequency, BJT amplifiers, amplifier analysis, Bode plots, frequency response, High frequency FET models, Miller capacitance, operational amplifiers, switched mode power supplies, Buck converter, boost converter, inverting amplifier, noninverting amplifier